Answer:
Triangles:
10 m, 21 m, 29 m
10 m, 29 m, 37 m
Not triangles:
10 m, 14 m, 29 m
10 m, 29 m, 40 m
Step-by-step explanation:
For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.
Let us check each of the options.
Option 1: 10 m, 14 m, 29 m
The sum of lengths 10 m and 14 m must be greater than 29 m.
10 + 14 = 24 < 29
So, this is not a triangle.
Option 2: 10 m, 21 m, 29 m
10 + 21 = 31 > 29
21 + 29 = 50 > 10
29 + 10 = 39 > 21
Therefore, it is a triangle.
Option 3: 10 m, 29 m, 37 m
10 + 29 = 39 > 37
29 + 37 = 66 > 10
37 + 10 = 47 > 29
Therefore, it is a triangle.
Option 4: 10 m, 29 m, 40 m
10 + 29 =39 < 40
So, this is not a triangle.
Answer:
6 × 10
^4
Step-by-step explanation:
Answer: The flagpole is 12.1 feet high.
Step-by-step explanation:
We can solve this by using a ratio:
Actual height to shadow length. The fractions must have the same equivalent values.
5.5/10 = x/22 Cross multiply the numerator on the left times the denominator on the right, and the denominator on the left by the numerator on the right:
5.5(22) = 10x
121 = 10x Divide both sides by 10. (10s "cancel" on the right)
12.1 = x
The flagpole is 12.1 feet high.
Your answer is B. Hoped this helped.
Answer:
<em>m</em> = 6
Step-by-step explanation:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
f(x) = x² + 4x - 3
Point (1, 2)
Step 2: Find slope of tangent line
- Find derivative of f(x): f'(x) = 2x + 4
- Plug in <em>x</em> coordinate into derivative to find slope: f(1) = 2(1) + 4 = 6